{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats as stats\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Correlated Processes\n",
    "## Geometric Brownian Motion\n",
    "\n",
    "We are modeling stock prices as Geometric Brownian Motion, \n",
    "\n",
    "$$\\frac{dS_k}{S_k} = \\mu dt + \\sigma \\epsilon_k \\sqrt{dt},$$\n",
    "\n",
    "where $k$ is the index for the stock. \n",
    "Often times, for simplicity, we simply denote the Wiener processes $\\epsilon_{k}\\sqrt{dt} = dW_k$, yielding the more compact\n",
    "\n",
    "$$\\frac{dS_k}{S_k} = \\mu dt + \\sigma dW_k,$$\n",
    "\n",
    "where $\\langle dW_k\\rangle = 0, \\langle dW_k^2\\rangle = dt$ still.\n",
    "\n",
    "As a warm up, let's find the variance of $\\frac{dS_k}{S_k}$:\n",
    "\n",
    "$$ \\left\\langle \\frac{dS_k}{S_k} \\frac{dS_k}{S_k}\\right\\rangle = \\langle (\\mu dt + \\sigma dW_k)^2\\rangle.$$\n",
    "\n",
    "We multiply out the terms and get \n",
    "\n",
    "\n",
    "\\begin{align}\n",
    "\\left\\langle \\frac{dS_k}{S_k} \\frac{dS_k}{S_k}\\right\\rangle &= \n",
    "\\langle (\\mu dt)^2\\rangle + \\langle 2\\mu\\sigma \\,dt\\, dW_k\\rangle + \\langle \\sigma^2 dW_k^2\\rangle \\\\\n",
    "&= (\\mu dt)^2 +2\\mu\\sigma dt\\, \\langle  dW_k\\rangle + \\sigma^2 \\langle dW_k^2\\rangle\\\\\n",
    "&= \\sigma^2 dt\n",
    "\\end{align}\n",
    "\n",
    "since $dt^2\\ll dt$ and $\\langle dW_k\\rangle = 0$.\n",
    "\n",
    "Our intuition and analysis of past stock prices tell is that they are correlated. \n",
    "As a result, it'd be insufficient to describe the stock prices of different stocks as independent random walkers following a Geometric Brownian Motion. \n",
    "Instead, we need to find a way to link them together and encode the degree of correlation.\n",
    "\n",
    "To build intuition, let's start with two stocks, $S_1$ and $S_2$.\n",
    "\n",
    "\\begin{align}\n",
    "\\frac{dS_1}{S_1} &= \\mu dt + \\sigma dW_1,\\\\\n",
    "\\frac{dS_2}{S_2} &= \\mu dt + \\sigma dW_2.\n",
    "\\end{align}\n",
    "\n",
    "In the next step, we need to assume that the stochastic terms $dW_1, dW_2$ are not independent of each other, which implies\n",
    "\n",
    "$$\\langle dW_1 dW_2\\rangle = \\rho dt\\ne 0.$$\n",
    "\n",
    "$\\rho$ is called the correlation coefficient betwen 1 and 2.\n",
    "\n",
    "To see if this yields the desired result, what is the covariance of $\\frac{dS_1}{S_1}$ and $\\frac{dS_2}{S_2}$?\n",
    "\n",
    "\\begin{align}\\left\\langle \\frac{dS_1}{S_1} \\frac{dS_2}{S_2}\\right\\rangle &= \\langle(\\mu dt +\\sigma dW_1)\\times (\\mu dt + \\sigma dW_2)\\rangle\\\\\n",
    "&= \\langle \\mu^2 dt^2\\rangle + \\langle \\mu dt\\,\\sigma dW_1\\rangle + \\langle \\mu dt\\, \\sigma dW_2\\rangle + \\langle \\sigma^2dW_1 dW_2\\rangle\\\\\n",
    "&=\\rho \\sigma^2 dt\n",
    "\\end{align}\n",
    "\n",
    "which checks out.\n",
    "\n",
    "At this point, it makes sense to move to matrix notation for two reasons.\n",
    "Firstly, it simplifies notation when we want to move to more than two stocks.\n",
    "Secondly, it makes it easier to see how we will have to simulate the process in Python.\n",
    "\n",
    "We define the covariance matrix, allowing for more generality and $\\sigma_1\\ne \\sigma_2$ for the two stocks,\n",
    "\n",
    "$$\\Sigma = \\begin{pmatrix}\\sigma_1^2 & \\rho \\sigma_1\\sigma_2 \\\\ \\rho \\sigma_1\\sigma_2 & \\sigma_2^2\\end{pmatrix}.$$\n",
    "\n",
    "Further, even the drift term may be different, meaning we may have $\\mu_1\\ne\\mu_2$.\n",
    "\n",
    "Then, in the same way that the next step of an individual random walker with drift was given as a normal distribution with mean $\\mu$ and variance $\\sigma^2$, the next step of our two random walkers will be given by a multivariate normal distribution with the means ${\\bf \\mu} = (\\mu_1, \\mu_2)$ and covariance matrix ${\\bf \\Sigma}$.\n",
    "\n",
    "We discretize the stochastic differential equation equation and the increment, \n",
    "\n",
    "$$\\Delta S_k/S_k \\sim \\mathcal{N}({\\bf \\mu}, {\\bf \\Sigma}),$$\n",
    "\n",
    "and the stock price at time $T = N\\Delta t$ can be written as \n",
    "\n",
    "$$S_k(T) = S_0 \\Pi_{t=1}^N (1+\\Delta S_k).$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Problem 1.\n",
    "\n",
    "Create three plots of a couple of random walkers, with $\\rho=-0.4, 0.2, 0.8$, respectively. Use $T=252$, $\\Delta t =1$, $\\sigma_1=\\sigma_2=0.14/\\sqrt{252}$ and $\\mu_1=0.12/252, \\mu_2=0.08/252$. \n",
    "\n",
    "With these parameters, you describe the daily stock price of stocks that returns 12% and 8%, respectively, per year with a standard deviation of 14% for one year."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1a1a68ff98>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 252\n",
    "rho = 0.9\n",
    "mu1 = 0.12/N\n",
    "mu2 = 0.08/N\n",
    "sigma1 = 0.14 / np.sqrt(N)\n",
    "sigma2 = 0.14 / np.sqrt(N)\n",
    "\n",
    "cov = np.array([[sigma1*sigma1,     rho*sigma1*sigma2],\n",
    "                [rho*sigma1*sigma2, sigma2*sigma2    ]])\n",
    "\n",
    "mu = np.array([mu1, mu2])\n",
    "\n",
    "DeltaS = np.random.multivariate_normal(mu, cov, 252)\n",
    "\n",
    "# Simulate the stock prices for the two\n",
    "T = 252\n",
    "S_0 = 100\n",
    "stock_1 = np.zeros(T+1)\n",
    "stock_2 = np.zeros(T+1)\n",
    "stock_1[0] = S_0\n",
    "stock_2[0] = S_0\n",
    "\n",
    "# Calculate with loop\n",
    "for i in range(T):\n",
    "    stock_1[i+1] = stock_1[i]*(1+DeltaS[i,0])\n",
    "    stock_2[i+1] = stock_2[i]*(1+DeltaS[i,1])\n",
    "\n",
    "# Calculate with numpy special functions\n",
    "#initial_stock_prices = np.array([S_0,S_0])\n",
    "#stock_prices = np.concatenate(initial_stock_prices, 1+DeltaS)\n",
    "#print(stock_prices)\n",
    "#print(np.cumprod(1+DeltaS, axis=0))\n",
    "    \n",
    "# Plot the results\n",
    "fig, ax = plt.subplots(1,1)\n",
    "ax.plot(stock_1, label='Stock 1')\n",
    "ax.plot(stock_2, label='Stock 2')\n",
    "ax.set_xlabel('Time Step')\n",
    "ax.set_ylabel('Stock Price')\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Portfolio Optimization\n",
    "\n",
    "## Markowitz Portfolios\n",
    "\n",
    "\n",
    "#### Problem 2.\n",
    "\n",
    "If your Python distribution does not have Pandas installed yet, install it now and load it using\n",
    "\n",
    "```python\n",
    "import pandas as pd\n",
    "```\n",
    "\n",
    "For better visualization, I recommend installing Seaborn as well and import it as\n",
    "\n",
    "```python \n",
    "import seaborn as sns\n",
    "```\n",
    "\n",
    "Load the file \"2_Stock_Prices.csv\" from Blackboard, using the command \n",
    "\n",
    "```python\n",
    "df = pd.read_csv(\"./2_Stock_Prices.csv\", index_col=0, parse_dates=True)\n",
    "```\n",
    "\n",
    "which automatically parses the first column as the date-index and generates a DataFrame object.\n",
    "\n",
    "These are the adjusted close prices for the 200 largest firms, sorted by their weight in the S&P 500 as of mid-2019. We are going to find out which portfolio is the one that is \"optimal\" according to the criteria discussed in lecture.\n",
    "\n",
    "First, we are going to have to do a few preliminary steps:\n",
    "<li>\n",
    " <ul>Clean the data. We want to exclude any stocks for which we don't have the full price history. This can be done with \n",
    " ```python\n",
    " df = df.dropna(axis=1)\n",
    " ``` \n",
    " </ul>\n",
    "checking for missing entries along the time axis for each stock.\n",
    " <ul>Then we need to transform to log-prices: \n",
    " ```python\n",
    " df = df.apply(np.log)\n",
    " ```\n",
    " </ul>\n",
    " <ul>The portfolio optimization procedure works with returns, so we need calculate the first differences of the log-returns (and delete the first empty line for which we can't compute a return):\n",
    " ```python\n",
    " returns_df = df.diff().dropna(axis=0)\n",
    " ```\n",
    " </ul>\n",
    "</li>\n",
    "Now we're ready to proceed.\n",
    "\n",
    "The usefulness and beauty of Pandas DataFrames lies in their good visual representation and ease of use because most mathematical / statistical functions are either implemented or can easily be borrowed from numpy (see our  ```np.log ``` example above). \n",
    "\n",
    "Calculating the covariance and correlation is no different: ```returns_df.cov()``` and ```returns_df.corr()``` do the trick!\n",
    "\n",
    "Using \n",
    " ```python\n",
    " sns.heatmap(returns_df.corr(), vmin=-1, vmax=1, cmap=\"PiYG\")\n",
    " ```\n",
    "you can create a visual representation of the correlation matrix where the color scale ranges from -1 to +1 and goes from pink through white to green (```\"PiYG\"```)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd \n",
    "import seaborn as sns\n",
    "df = pd.read_csv(\"./data/2_Stock_Prices.csv\", index_col=0, parse_dates=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a1c778588>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Clean/transform the data\n",
    "df = df.dropna(axis=1)\n",
    "df = df.apply(np.log)\n",
    "# Get the dataframe with daily returns\n",
    "returns_df = df.diff().dropna(axis=0)\n",
    "# Plot the correlations\n",
    "sns.heatmap(returns_df.corr(), vmin=-1, vmax=1, cmap=\"PiYG\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, Markowitz Optimization is exactly that, an optimization procedure. \n",
    "Therefore, we need to invoke an appropriate function to get the job done:\n",
    "```python \n",
    "from scipy.optimize import minimize\n",
    "```\n",
    "\n",
    "To reduce the computational load, pick 5 stocks of your liking, which is done in the following way:\n",
    "```python \n",
    "my_stocks_df = returns_df.loc[:, [\"Column Name of Stock 1\", ..., \"Column Name of Stock 5\"]]\n",
    "```\n",
    "Then find the covariance matrix, as above. Use the following code to determine the portfolio.\n",
    "You will need to make some assumptions about the expected return of each of the stocks, which you need to pass as the variable ```means = np.array([mu1, mu2, mu3, mu4, mu5])```, plugging in numbers for your forecast."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import minimize\n",
    "\n",
    "\n",
    "# Compute the return of the portfolio, the volatility, and the Sharpe Ratio\n",
    "def get_ret_vol_sr(weights, means, cov, rf=0.05):\n",
    "    weights = np.array(weights)\n",
    "    # The means you enter are daily expected returns, so annualize them.\n",
    "    ret = np.sum(means*weights*252)\n",
    "    # The volatility is w*Sigma*w\n",
    "    vol = np.sqrt(np.dot(weights.T, np.dot(cov, weights)))\n",
    "\n",
    "    sr = (ret-rf)/vol\n",
    "\n",
    "    return np.array([ret, vol, sr])\n",
    "\n",
    "def find_weights(means, cov, rf=0.05):\n",
    "    \n",
    "    # Compute the return of the portfolio, the volatility, and the Sharpe Ratio\n",
    "    def get_ret_vol_sr(weights):\n",
    "        weights = np.array(weights)\n",
    "        # The means you enter are daily expected returns, so annualize them.\n",
    "        ret = np.sum(means*weights*252)\n",
    "        # The volatility is w*Sigma*w\n",
    "        vol = np.sqrt(np.dot(weights.T, np.dot(cov, weights)))\n",
    "\n",
    "        sr = (ret-rf)/vol\n",
    "\n",
    "        return np.array([ret, vol, sr])    \n",
    "          \n",
    "    # We want to maximize the Sharpe Ratio, ergo minimize the negative Sharpe Ratio.\n",
    "    def neg_sharpe(weights):\n",
    "        return -get_ret_vol_sr(weights)[2]\n",
    "\n",
    "    # Function for the constraints: We want to invest all of our money, nothing more, nothing less.\n",
    "    def check_sum(weights):\n",
    "        # Return 0 if sum of the weights is 1\n",
    "        return np.sum(weights)-1\n",
    "    \n",
    "    # Set the constraint: Weights need to sum to 1.\n",
    "    cons = ({\"type\":\"eq\", \"fun\":check_sum})\n",
    "    # Each stock should have some weight between 0 and 100% in our portfolio.\n",
    "    bounds = tuple([(0,1) for _ in range(len(means))])\n",
    "    \n",
    "    # Our initial guess is equally spreading the money.\n",
    "    init_guess = [1./len(means) for _ in range(len(means))]\n",
    "    \n",
    "    # Optimize!\n",
    "    opt_results = minimize(neg_sharpe, init_guess, method=\"SLSQP\", bounds=bounds, constraints=cons)\n",
    "    \n",
    "    return opt_results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.25790525 0.07968864 0.1866545  0.35203291 0.12371869]\n"
     ]
    }
   ],
   "source": [
    "# Choose 5 stocks\n",
    "my_df = returns_df.loc[:, ['D', 'JPM', 'UNH', 'PG', 'PM']]\n",
    "means = np.array([0.03/252, 0.03/252, 0.03/252, 0.03/252, 0.03/252])*2\n",
    "cov = my_df.cov()\n",
    "\n",
    "# Run the optimizer\n",
    "opt = find_weights(means, cov)\n",
    "\n",
    "# If you output opt, you get a bunch of info, and in \"x\", the weights are stored.\n",
    "weights = opt[\"x\"]\n",
    "print(weights)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Problem 3.\n",
    "\n",
    "We are now going to combine Problem 1 and Problem 2 for new insight.\n",
    "\n",
    "Consider the following input for daily mean returns and daily covariance for the optimizer and find the weights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/alpakpinar/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: covariance is not symmetric positive-semidefinite.\n",
      "  \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "means = [5e-4, 5e-4, 5e-4, 5e-4]\n",
    "\n",
    "cov = np.array([[0.0625, 0.05625, 0.01875, -0.00625],\n",
    "                [0.036, 0.04, 0.012, 0.008], \n",
    "                [0.00675, 0.00675, 0.0225, 0.009],\n",
    "                [-0.001, 0.002, 0.004, 0.01]]) / 252\n",
    "\n",
    "\n",
    "# Find the optimal weights before simulation\n",
    "opt_before = find_weights(means, cov)\n",
    "weights_before = opt_before['x']\n",
    "\n",
    "# Run simulation of four stocks\n",
    "DeltaS = np.random.multivariate_normal(means, cov, 252)\n",
    "\n",
    "# Simulate the stock prices for the two\n",
    "T = 252\n",
    "S_0 = 100\n",
    "# Store tbe prices of 4 stocks\n",
    "stocks = []\n",
    "for i in range(4):\n",
    "    stocks.append(np.zeros(T+1))\n",
    "    stocks[i][0] = S_0\n",
    "    \n",
    "# Calculate with loop\n",
    "for time_step in range(T):\n",
    "    for stock_idx, stock in enumerate(stocks):\n",
    "        stock[time_step+1] = stock[time_step]*(1+DeltaS[time_step, stock_idx])\n",
    "\n",
    "fig, ax = plt.subplots(1,1)\n",
    "for idx, stock in enumerate(stocks):\n",
    "    ax.plot(stock, label=f'Stock {idx+1}')\n",
    "    ax.set_xlabel('Time Step')\n",
    "    ax.set_ylabel('Stock Price')\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "# Get log returns\n",
    "log_returns = []\n",
    "for stock in stocks:\n",
    "    log_returns.append(np.diff(np.log(stock)))\n",
    "\n",
    "# Calculate covariance matrix out of log returns\n",
    "sigmas = []\n",
    "for idx, stock in enumerate(stocks):\n",
    "    sigmas.append(\n",
    "            np.std(log_returns[idx])\n",
    "    )\n",
    "\n",
    "cov_after = np.zeros((4,4))\n",
    "# Continue from here...\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, in reality, we do not know the proper covariance matrix, but like above we need to estimate it from the data.\n",
    "Let's do a little experiment. Similar to Problem 1, generate 252 time steps of random walkers for for hypothetical stocks described  with the daily returns and the daily covariance matrix above. \n",
    "\n",
    "Use the output to estimate the covariance matrix. Then run the optimization procedure again. Compare the weights -- they should be identical, but are they?"
   ]
  }
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